413045117 has 2 divisors, whose sum is σ = 413045118. Its totient is φ = 413045116.

The previous prime is 413045089. The next prime is 413045119. The reversal of 413045117 is 711540314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397842916 + 15202201 = 19946^2 + 3899^2 .

It is a cyclic number.

It is not a de Polignac number, because 413045117 - 2²⁴ = 396267901 is a prime.

Together with 413045119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413045119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206522558 + 206522559.

It is an arithmetic number, because the mean of its divisors is an integer number (206522559).

Almost surely, 2^413045117 is an apocalyptic number.

It is an amenable number.

413045117 is a deficient number, since it is larger than the sum of its proper divisors (1).

413045117 is an equidigital number, since it uses as much as digits as its factorization.

413045117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 413045117 is about 20323.5114338049. The cubic root of 413045117 is about 744.7305405100.

The spelling of 413045117 in words is "four hundred thirteen million, forty-five thousand, one hundred seventeen".